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mf_newforms • Show schema
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{'Nk2': 9072, 'analytic_conductor': 18.11007117842639, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [2268, 3, [1135, 1541, 325], [3, 1, 3]], 'cm_discs': [], 'conrey_index': 757, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [0, 1]], [11, [36, 6, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518616645699804, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': 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mf_hecke_cc • Show schema
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'embedding_root_imag': -0.8660254037844386, 'embedding_root_real': 0.5, 'hecke_orbit': 6, 'hecke_orbit_code': 22518616645699804, 'label': '2268.2.j.f.757.1', 'level': 2268, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 9072, 'analytic_conductor': 18.11007117842639, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [2268, 3, [1135, 1541, 325], [3, 1, 3]], 'conrey_index': 757, 'cusp_dim': 792, 'dim': 48, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 618508847324, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 8], 'label': '2268.2.j', 'level': 2268, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 936, 'mf_new_dim': 48, 'num_forms': 18, 'prim_orbit_index': 3, 'relative_dim': 24, 'sturm_bound': 864, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 696, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -96, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45295483
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 757, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518616645699804, 'target_is_minimal': False, 'target_label': '2268.2.j.f.757.1', 'target_level': 2268, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45295484
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 757, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029415527811292, 'target_is_minimal': False, 'target_label': '2268.2.j.i.757.1', 'target_level': 2268, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45295485
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1513, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029415527811292, 'target_is_minimal': False, 'target_label': '2268.2.j.i.1513.1', 'target_level': 2268, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45295486
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925180, 'target_is_minimal': False, 'target_label': '252.2.a.b.1.1', 'target_level': 252, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45295487
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925012, 'target_is_minimal': True, 'target_label': '84.2.a.b.1.1', 'target_level': 84, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45295488
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1513, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518616645699804, 'target_is_minimal': False, 'target_label': '2268.2.j.f.1513.1', 'target_level': 2268, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45295489
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925264, 'target_is_minimal': False, 'target_label': '336.2.a.b.1.1', 'target_level': 336, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45295490
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778416, 'target_is_minimal': False, 'target_label': '1008.2.a.g.1.1', 'target_level': 1008, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 45295491
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444118172, 'target_is_minimal': False, 'target_label': '6300.2.a.p.1.1', 'target_level': 6300, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45295492
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 6049, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561880893626524, 'target_is_minimal': False, 'target_label': '6300.2.k.r.6049.1', 'target_level': 6300, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45295493
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33556532, 'target_is_minimal': False, 'target_label': '2100.2.a.a.1.1', 'target_level': 2100, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45295494
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 6049, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561880893626524, 'target_is_minimal': False, 'target_label': '6300.2.k.r.6049.2', 'target_level': 6300, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 45295495
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1849, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228323892, 'target_is_minimal': False, 'target_label': '2100.2.k.a.1849.2', 'target_level': 2100, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45295496
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1849, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228323892, 'target_is_minimal': False, 'target_label': '2100.2.k.a.1849.1', 'target_level': 2100, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 45295497
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1549, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015085737805540, 'target_is_minimal': False, 'target_label': '1764.2.k.e.1549.1', 'target_level': 1764, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45295498
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926221388, 'target_is_minimal': False, 'target_label': '588.2.i.f.361.1', 'target_level': 588, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45295499
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797779172, 'target_is_minimal': False, 'target_label': '1764.2.a.g.1.1', 'target_level': 1764, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45295500
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044109900, 'target_is_minimal': False, 'target_label': '588.2.i.c.361.1', 'target_level': 588, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45295501
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1549, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511486110435044, 'target_is_minimal': False, 'target_label': '1764.2.k.d.1549.1', 'target_level': 1764, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 45295502
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 373, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044109900, 'target_is_minimal': False, 'target_label': '588.2.i.c.373.1', 'target_level': 588, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 45295503
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511486110435044, 'target_is_minimal': False, 'target_label': '1764.2.k.d.361.1', 'target_level': 1764, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 45295504
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296012, 'target_is_minimal': False, 'target_label': '588.2.a.c.1.1', 'target_level': 588, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 45295505
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015085737805540, 'target_is_minimal': False, 'target_label': '1764.2.k.e.361.1', 'target_level': 1764, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 45295506
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 373, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926221388, 'target_is_minimal': False, 'target_label': '588.2.i.f.373.1', 'target_level': 588, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45295507
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170408256, 'target_is_minimal': False, 'target_label': '1344.2.a.f.1.1', 'target_level': 1344, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '72.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45295508
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580968384, 'target_is_minimal': False, 'target_label': '4032.2.a.u.1.1', 'target_level': 4032, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '72.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45295509
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816742720, 'target_is_minimal': False, 'target_label': '1344.2.a.o.1.1', 'target_level': 1344, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '72.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45295510
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953597888, 'target_is_minimal': False, 'target_label': '4032.2.a.t.1.1', 'target_level': 4032, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '72.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 45295511
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 2689, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028934491477248, 'target_is_minimal': False, 'target_label': '5376.2.c.i.2689.1', 'target_level': 5376, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '144.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45295512
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 2689, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582928902034688, 'target_is_minimal': False, 'target_label': '5376.2.c.x.2689.2', 'target_level': 5376, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '144.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45295513
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 2689, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028934491477248, 'target_is_minimal': False, 'target_label': '5376.2.c.i.2689.2', 'target_level': 5376, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '144.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 45295514
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 2689, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582928902034688, 'target_is_minimal': False, 'target_label': '5376.2.c.x.2689.1', 'target_level': 5376, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '144.131', 'twisting_conrey_index': 131, 'weight': 2}
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id: 45295515
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 319755573576868048, 'target_is_minimal': False, 'target_label': '8400.2.a.ct.1.1', 'target_level': 8400, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '180.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45295516
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1537, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065892837853488, 'target_is_minimal': False, 'target_label': '2352.2.q.s.1537.1', 'target_level': 2352, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '252.23', 'twisting_conrey_index': 23, 'weight': 2}
-
id: 45295517
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022697309407536, 'target_is_minimal': False, 'target_label': '2352.2.q.g.961.1', 'target_level': 2352, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '252.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45295518
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065892837853488, 'target_is_minimal': False, 'target_label': '2352.2.q.s.961.1', 'target_level': 2352, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '252.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 45295519
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1537, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022697309407536, 'target_is_minimal': False, 'target_label': '2352.2.q.g.1537.1', 'target_level': 2352, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '252.131', 'twisting_conrey_index': 131, 'weight': 2}
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id: 45295520
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463082896, 'target_is_minimal': False, 'target_label': '7056.2.a.x.1.1', 'target_level': 7056, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '252.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 45295521
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326225712, 'target_is_minimal': False, 'target_label': '2352.2.a.s.1.1', 'target_level': 2352, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '252.167', 'twisting_conrey_index': 167, 'weight': 2}
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id: 45295522
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 297237575440016576, 'target_is_minimal': False, 'target_label': '9408.2.a.co.1.1', 'target_level': 9408, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '504.293', 'twisting_conrey_index': 293, 'weight': 2}
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id: 45295523
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645699804, 'source_is_minimal': False, 'source_label': '2268.2.j.f.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698862272, 'target_is_minimal': False, 'target_label': '9408.2.a.r.1.1', 'target_level': 9408, 'twist_class_label': '84.2.a.b.1.1', 'twist_class_level': 84, 'twisting_char_label': '504.419', 'twisting_conrey_index': 419, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2535650
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518616645699804, 'p': 2}
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id: 2535651
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518616645699804, 'p': 3}
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id: 2535652
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518616645699804, 'p': 5}
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id: 2535653
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 22518616645699804, 'p': 7}
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id: 2535654
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 22518616645699804, 'p': 11}
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id: 2535655
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 22518616645699804, 'p': 13}
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id: 2535656
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518616645699804, 'p': 17}
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id: 2535657
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 22518616645699804, 'p': 19}
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id: 2535658
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 22518616645699804, 'p': 23}
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id: 2535659
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 22518616645699804, 'p': 29}
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id: 2535660
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 22518616645699804, 'p': 31}
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id: 2535661
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 22518616645699804, 'p': 37}
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id: 2535662
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 22518616645699804, 'p': 41}
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id: 2535663
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 22518616645699804, 'p': 43}
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id: 2535664
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 22518616645699804, 'p': 47}
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id: 2535665
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 22518616645699804, 'p': 53}
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id: 2535666
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518616645699804, 'p': 59}
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id: 2535667
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 22518616645699804, 'p': 61}
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id: 2535668
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 22518616645699804, 'p': 67}
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id: 2535669
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 22518616645699804, 'p': 71}
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id: 2535670
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 22518616645699804, 'p': 73}
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id: 2535671
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 22518616645699804, 'p': 79}
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id: 2535672
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 22518616645699804, 'p': 83}
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id: 2535673
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 22518616645699804, 'p': 89}
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id: 2535674
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 22518616645699804, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 6, 'label': '2268.2.j.f', 'level': 2268, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 44662099
{'hecke_orbit_code': 22518616645699804, 'n': 1, 'trace_an': 2}
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id: 44662100
{'hecke_orbit_code': 22518616645699804, 'n': 2, 'trace_an': 0}
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id: 44662101
{'hecke_orbit_code': 22518616645699804, 'n': 3, 'trace_an': 0}
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id: 44662102
{'hecke_orbit_code': 22518616645699804, 'n': 4, 'trace_an': 0}
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id: 44662103
{'hecke_orbit_code': 22518616645699804, 'n': 5, 'trace_an': 0}
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id: 44662104
{'hecke_orbit_code': 22518616645699804, 'n': 6, 'trace_an': 0}
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id: 44662105
{'hecke_orbit_code': 22518616645699804, 'n': 7, 'trace_an': -1}
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id: 44662106
{'hecke_orbit_code': 22518616645699804, 'n': 8, 'trace_an': 0}
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id: 44662107
{'hecke_orbit_code': 22518616645699804, 'n': 9, 'trace_an': 0}
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id: 44662108
{'hecke_orbit_code': 22518616645699804, 'n': 10, 'trace_an': 0}
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id: 44662109
{'hecke_orbit_code': 22518616645699804, 'n': 11, 'trace_an': -6}
-
id: 44662110
{'hecke_orbit_code': 22518616645699804, 'n': 12, 'trace_an': 0}
-
id: 44662111
{'hecke_orbit_code': 22518616645699804, 'n': 13, 'trace_an': -2}
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id: 44662112
{'hecke_orbit_code': 22518616645699804, 'n': 14, 'trace_an': 0}
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id: 44662113
{'hecke_orbit_code': 22518616645699804, 'n': 15, 'trace_an': 0}
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id: 44662114
{'hecke_orbit_code': 22518616645699804, 'n': 16, 'trace_an': 0}
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id: 44662115
{'hecke_orbit_code': 22518616645699804, 'n': 17, 'trace_an': 0}
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id: 44662116
{'hecke_orbit_code': 22518616645699804, 'n': 18, 'trace_an': 0}
-
id: 44662117
{'hecke_orbit_code': 22518616645699804, 'n': 19, 'trace_an': -8}
-
id: 44662118
{'hecke_orbit_code': 22518616645699804, 'n': 20, 'trace_an': 0}
-
id: 44662119
{'hecke_orbit_code': 22518616645699804, 'n': 21, 'trace_an': 0}
-
id: 44662120
{'hecke_orbit_code': 22518616645699804, 'n': 22, 'trace_an': 0}
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id: 44662121
{'hecke_orbit_code': 22518616645699804, 'n': 23, 'trace_an': -6}
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id: 44662122
{'hecke_orbit_code': 22518616645699804, 'n': 24, 'trace_an': 0}
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